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235823896 = 237111920149
BaseRepresentation
bin11100000111001…
…10001100011000
3121102202002120101
432003212030120
5440332331041
635222305144
75562320140
oct1603461430
9542662511
10235823896
11111130a90
1266b881b4
1339b1b089
1423469920
1515a83b31
hexe0e6318

235823896 has 64 divisors (see below), whose sum is σ = 580320000. Its totient is φ = 87039360.

The previous prime is 235823879. The next prime is 235823897. The reversal of 235823896 is 698328532.

235823896 = T2848 + T2849 + ... + T2904.

235823896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2358238962 = 111225819849237632, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235823897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630 + ... + 21778.

It is an arithmetic number, because the mean of its divisors is an integer number (9067500).

Almost surely, 2235823896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235823896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160000).

235823896 is an abundant number, since it is smaller than the sum of its proper divisors (344496104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235823896 is a wasteful number, since it uses less digits than its factorization.

235823896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192 (or 20188 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 235823896 is about 15356.5587290903. The cubic root of 235823896 is about 617.8209107418.

The spelling of 235823896 in words is "two hundred thirty-five million, eight hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 20149 40298 80596 141043 161192 221639 282086 382831 443278 564172 765662 886556 1128344 1531324 1551473 1773112 2679817 3062648 3102946 4211141 5359634 6205892 8422282 10719268 12411784 16844564 21438536 29477987 33689128 58955974 117911948 235823896